Fractional statistics from gravitation

Details Fractional statistics from gravitation Fractional statistics from gravitation

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.6269c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 12, 15 June 1994, pp.R6269-R6273

Physics

Condensed Matter

Statistical Mechanics

4

Nonlinear Or Nonlocal Theories And Models, Exact Solutions, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Quantum Statistical Mechanics

Scientific paper

We show that the solitons of the SO(3) nonlinear sigma model in 2+1 dimensions, when coupled to gravitation with the gravitational Chern-Simons interaction, become anyons in the absence of the Hopf term. In particular we calculate the fractional statistical factor of the gravitating anyons, and prove that the gravitational Chern-Simons term itself can be interpreted as the Hopf term of the topological current of Π2(S2).

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